Regularity of ultrafilters and the core model

DOI10.1007/BF02778036zbMath0663.03037MaRDI QIDQ1114680

Hans-Dieter Donder

Publication date: 1988

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

inner modelsingular cardinalcore modeluniform ultrafiltercombinatorial principlesregular ultrafiltermodel with a measurable cardinal

Mathematics Subject Classification ID

Consistency and independence results (03E35) Other combinatorial set theory (03E05)

Related Items

Non-regular ultrafilters, Ultrafilter convergence in ordered topological spaces, Keisler's order has infinitely many classes, Ultrafilter translations. I: \((\lambda, \lambda)\)-compactness of logics with a cardinality quantifier, Unnamed Item, Open problems on ultrafilters and some connections to the continuum, On the maximal resolvability of monotonically normal spaces, DENSE IDEALS AND CARDINAL ARITHMETIC, More on uniform ultrafilters over a singular cardinal, Algebra and local presentability: how algebraic are they? (A survey), More on regular and decomposable ultrafilters in ZFC, Realism, nonstandard set theory, and large cardinals, Mutually stationary sequences of sets and the non-saturation of the non-stationary ideal on \(P_x(\lambda)\), How rigid are reduced products?

Cites Work

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• Regularity of ultrafilters
• Model theory
• The core model
• The covering lemma for K
• Weakly Normal Filters and Irregular Ultrafilters
• Nonregular Ultrafilters and Large Cardinals
• Strong axioms of infinity and elementary embeddings
• On the Existence of Nonregular Ultrafilters and the Cardinality of Ultrapowers
• On a problem of Gillman and Keisler
• The fine structure of the constructible hierarchy